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eimsori [14]
3 years ago
13

A local college recently reported that enrollment increased to 108% percent of last year. If enrollment last year was at 17,113,

about how many students enrolled this year? Round to the nearest whole number.
Mathematics
1 answer:
Sever21 [200]3 years ago
6 0
Answer=18,482 students

  17113        x
_______=_____
  100%      108%

Cross multiply
100x=<span>1848204
divide both sides by 100
x=18482.04
Round to the nearest whole number
x=18,482 students</span>
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Consider the probabilities of people taking pregnancy tests. Assume that the true probability of pregnancy for all people who ta
Valentin [98]

Using conditional probability, it is found that there is a 0.8462 = 84.62% probability that a woman who gets a positive test result is truly pregnant.

<h3>What is Conditional Probability?</h3>

Conditional probability is the probability of one event happening, considering a previous event. The formula is:

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

  • P(B|A) is the probability of event B happening, given that A happened.
  • P(A \cap B) is the probability of both A and B happening.
  • P(A) is the probability of A happening.

In this problem, the events are:

  • Event A: Positive test result.
  • Event B: Pregnant.

The probability of a positive test result is composed by:

  • 99% of 10%(truly pregnant).
  • 2% of 90%(not pregnant).

Hence:

P(A) = 0.99(0.1) + 0.02(0.9) = 0.117

The probability of both a positive test result and pregnancy is:

P(A \cap B) = 0.99(0.1)

Hence, the conditional probability is:

P(B|A) = \frac{0.99(0.1)}{0.117} = 0.8462

0.8462 = 84.62% probability that a woman who gets a positive test result is truly pregnant.

You can learn more about conditional probability at brainly.com/question/14398287

7 0
2 years ago
Can u guys please help me with my math homework.
Sladkaya [172]
1.) circumference: 2(pi)r (use the pi sign) Area: pi(r^2)

2.) circumference: 2(pi)5=31.4
area: pi(5^2)=78.5

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4 0
2 years ago
The answer to this, i don’t understand it
Akimi4 [234]
Answer:
9.2

Step-by-step explanation:
Since it is a right triangle, you can use the Pythagorean theorem to find the third side which is the hypotenuse.

a^2 + b^2 = c^2
7^2 + 6^2 = c^2
49 + 36 = c^2
85 = c^2
9.219 = C
So, the answer rounded to the nearest tenth would be: 9.2


6 0
1 year ago
Read 2 more answers
What is the area of the shaded sector of the circle? 20pi units squared 40pi units squared 180pi units squared 400
mafiozo [28]

The area of the sector with a radius of 20 units and a central angle of 162° is 180π unit².

<h3>What is the sector of a circle?</h3>

A sector is the portion of a circle enclosed by two radii and an arc, where the smaller area is known as the minor sector and the larger is the major sector.

The radius of the sector =20 units

Central angle subtended by sector = 162° = 162π/180 radians

As we know the area of a sector= 0.5r²α

where r is the radius and α is the central angle.

So, the area of the given sector = 0.5*20²* 162π/180

The area of the given sector = 180π unit²

Therefore, The area of the sector with a radius of 20 units and a central angle of 162° is 180π unit².

To get more about the sector visit:

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4 0
2 years ago
I need help with this geometry question, matching the right ones to each other.
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The transformations and their respective descriptions are:

A. (x, y) ⇒ (3x, y) implies horizontal stretch by a scale factor of 3

B. (x, y) ⇒ (x+3, y) implies translation 3 units right

C. (x, y) ⇒ (x, 3y) implies vertical stretch by a factor of 3

D. (x, y) ⇒ (x, y+3) implies  implies translation 3 units up

E. (x, y) ⇒ (3x, 3y) implies dilation with a scale factor 3

<h3>What is Translation?</h3>

Translation is an algebraic transformation of a shape by moving the vertices some units along the x or y axis.

When a shape is translated it may move to a new position depending on the orientation of the translation.

Analysis:

For A, the x coordinate was transformed three times its initial value stretching it horizontally.

For B, the x coordinate moved 3 units further away from its initial value making the new value x+3 and y remaining the same.

For C, the y coordinated was transformed to a value three times what it was, making it to be stretched vertically, since the y-axis is a vertical axis.

For D, the y coordinate was moves 3 units away from its initial position making it to be translated up, since 3 is positive.

For E, both coordinates were stretched 3 units as much as their original value making the shape to dilate.

Learn more about linear transformations: brainly.com/question/13005179

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1 year ago
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